• Title/Summary/Keyword: mixed mode (I+II)

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Study on mechanism of macro failure and micro fracture of local nearly horizontal stratum in super-large section and deep buried tunnel

  • Li, Shu-cai;Wang, Jian-hua;Chen, Wei-zhong;Li, Li-ping;Zhang, Qian-qing;He, Peng
    • Geomechanics and Engineering
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    • v.11 no.2
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    • pp.253-267
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    • 2016
  • The stability of surrounding rock will be poor when the tunnel is excavated through nearly horizontal stratum. In this paper, the instability mechanism of local nearly horizontal stratum in super-large section and deep buried tunnel is revealed by the analysis of the macro failure and micro fracture. A structural model is proposed to explain the mechanics of surrounding rock collapse under the action of stress redistribution and shed light on the macroscopic analytical approach of the stability of surrounding rock. Then, some highly effective formulas applied in the tunnel engineering are developed according to the theory of mixed-mode micro fracture. And well-documented field case is made to demonstrate the effectiveness and accuracy of the proposed analytical methods of mixed-mode fracture. Meanwhile, in order to make the more accurate judgment about yield failure of rock mass, a series of comprehensive failure criteria are formed. In addition, the relationship between the nonlinear failure criterion and $K_I$ and $K_{II}$ of micro fracture is established to make the surrounding rock failure criterion more comprehensive and accurate. Further, the influence of the parameters related to the tension-shear mixed-mode fracture and compression-shear mixed-mode fracture on the propagation of rock crack is analyzed. Results show that ${\sigma}_3$ changes linearly with the change of ${\sigma}_1$. And the change rate is related to ${\beta}$, angle between the cracks and ${\sigma}_1$. The proposed simple analytical approach is economical and efficient, and suitable for the analysis of local nearly horizontal stratum in super-large section and deep buried tunnel.

Comparison of Geogrid Bonding Methods under Asphalt Overlay Layer for Reflection Cracking Retardation (아스팔트 덧씌우기 하부의 Geogrid 부착방법에 따른 반사균열 지연특성 비교)

  • Doh, Young-Soo;Kim, Bun-Chang;Ko, Tae-Young;Kim, Kwang-Woo
    • International Journal of Highway Engineering
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    • v.7 no.4 s.26
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    • pp.9-20
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    • 2005
  • This study was carried out to select most efficient bonding methods of geogrid at the interface of old concrete pavement before placing asphalt overlay layer for reflection cracking retardation. Three bonding methods, a RSC-4 emulsified asphalt, a compound and an unsaturated polyester resin (UPR) were compared in this study. Three types of asphalt mixture (AC 60-80, RLDPE 8%, PG 76-22) and a dense-graded aggregate were used for overlay asphalt pavement. A reinforcing material which consists of a woven fabric underneath a glass fiber grid was used. An expedite test method which is for simulating mixed mode (mode I and II) fracture test was performed using a wheel tracker in laboratory. Cracking development by load repetition was measured as fatigue life (number of load cycle) and expansion of specimen body were measured for each test specimen. The results showed that UPR was the best and RSC-4 the next. But considering field applicability, RSC-4 was considered as an appropriate choice for bonding reinforcing material.

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Quantitative Change of Aristolochic Acid Contents by Processing Methods on the Plants of Aristolochiaceae (쥐방울과 한약의 수치에 따른 aristolochic acid 함량변화)

  • Kim, Min-Suk;Lee, Joung-Bok;Park, Si-Hyung;Kim, Dong-Wook;Min, Oh-Jin;Rhyu, Dong-Young
    • Korean Journal of Pharmacognosy
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    • v.38 no.2 s.149
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    • pp.123-127
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    • 2007
  • Aristolochic acid (AA) included in the plants Aristolochiaceae have been well known to be nephrotoxic and carcinogenic inducer and to cause renal disease such as Chinese Herb Nephropathy (CHN). In this study, we used a high performance liquid chromatopaphy-mass spectrometry (HPLC-MS) under the positive ion detection mode for the quantitative change of aristolochic acid-I and-II (AA-I and AA-II) in Aristolochiaceae (Aristolochia contorta Bunge, Aristolochia debilis Sieb. et Zucc., Aristolochia fangchi Wu), some related plants (Cocculus trilobus De candolle, Inula helenium Linne, Saussurea lappa Clarke), and its prescriptions (防己茯笭湯, 定喘散) with or without processing. Here, the processing methods and prescriptions in oriental medicine were generally used to alleviate toxicity or alter property of herbal medicines. However, the concentrations of AA-I and AA-II were highly determined in processed material extracts rather than unprocessed those, not measured in some related plants. Also, the concentrations of AA-I and AA-II even at the prescriptions mixed the plants of Aristolochiaceae were detected to range from 0.73 to 2.53 ppm. Thus, the present results suggest that the content of AA-I and AA-II contained to plants of Aristolochiaceae was not reduced by the processing methods or prescriptions which can induce the physico-chemical change and pharmacological transformation in traditional herbal medicines.

Determination of Energy Release Rate of Penny-shaped Interface Crack on Bimaterial Cylinder (동전모양 균열이 존재하는 이상복합체의 에너지해방율 산정)

  • 양성철;서영찬;박종원
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.389-398
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    • 2002
  • The mixed mode problem (I and II) of a peny-shaped interface cracks in remote tension loading on a bi-material cylinder is studied using finite element method. The energy release rates for the tip of the crack in the interface were calibrated for several different moduli combinations and crack ratios using the modified crack closure integral technique and J-integral method, with numerical results obtained from a commercial finite element program. Numerical results show that non-dimensional value of$\sqrt{G_{II}E^*}/\sqrt[p]{\pi a}$ increases as the crack size or moduli ratio increases. Meanwhile, non-dimensional value of$\sqrt{G_{I}E^*}/\sqrt[p]{\pi a}$ decreases as the moduli ratio increases, but above the moduli ratio of 3 its value decreases then increases again as the crack size increases. Reliability of the numerical analysis in this study was acquired with comparison to an analytical solution for the peny-shaped interface crack in an infinite medium.

Analysis of Structural Performance of Wood Composite I and Box Beam on Cross Section Component (II) - Calculation and Analysis of Ultimate Loads - (단면구성요소(斷面構成要素)에 관(關)한 목질복합(木質複合) I 및 Box형(形) 보의 구조적(構造的) 성능(性能) 분석(分析) (II) - 최대하중(最大荷重)의 계산(計算) 및 해석(解析) -)

  • Oh, Sei-Chang;Lee, Phil-Woo
    • Journal of the Korean Wood Science and Technology
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    • v.19 no.3
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    • pp.62-71
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    • 1991
  • An evaluation of bending test of composite I and Box beams for determining the ultimate strength limit design criteria was presented. Maxium loads of composite I beams were found in beams composed of thicker upper flanges and/or vertical LVL flanges. These loads of plywood web beams were greater than those of PB web beams. Maximum loads of unsymmetrical box beams were less than those of symmetrical box beams. Thus, it took on different phase in box type beams. Ultimate loads of composite beams were greater than those of solid. The failure of composite beams were abrupt and failure mode was classified into following categories; Edgewise shear failure in web, delamination in flange-web joint, tension failure and tearing in LVL flanges, and web delamination. These failures of composite beams were appeared at the mixed mode. The influence factor affecting the performance of tested composite beams was shear strength of PB-web composite beams and compressive strength in plywood-web composite beams. It was also assumed that the influence factors on structural performance on composite beams were flange quality, web material and geometry of cross section. As one of the design methods resisting to compressive stress that was required in the case of small span to depth ratio and deep beams. composite I-beams composed of thicker upper flanges comparing to lower flanges were very effective in structural performance.

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Application of Weight Function Method to Elliptical Arc Through Cracks at Mechanical Fastener Holes (기계적 체결홀에 존재하는 타원호형 관통균열에 대한 가중함수법의 적용)

  • Heo, Sung-Pil;Yang, Won-Ho;Chung, Ki-Hyun;Hyun, Cheol-Seung
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.304-310
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    • 2001
  • Cracks at mechanical fastener holes usually nucleate as elliptical comer cracks at the faying surface of the mechanical joints and grow as elliptical arc through cracks after penetrating the opposite surface. In this study mode I, II and III stress intensity factors at two surface points of elliptical arc through cracks at mechanical fastener holes are analyzed by applying weight function method. The weight function method for two dimensional mixed-mode problem is extended to three dimensional one and it is verified.

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Enhancing the ability of strain energy release rate criterion for fracture assessment of orthotropic materials under mixed-mode I/II loading considering the effect of crack tip damage zone

  • Khaji, Zahra;Fakoor, Mahdi
    • Steel and Composite Structures
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    • v.44 no.6
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    • pp.817-828
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    • 2022
  • In this study, considering dissipated energy in fracture process zone (FPZ), a novel criterion based on maximum strain energy release rate (SER) for orthotropic materials is presented. General case of in-plane loading for cracks along the fibers is assumed. According to the experimental observations, crack propagation is supposed along the fibers and the reinforcement isotropic solid (RIS) concept is employed as a superior model for orthotropic materials. SER in crack initiation and propagation phases is investigated. Elastic properties of FPZ are extracted as a function of undamaged matrix media and micro-crack density. This criterion meaningfully links between dissipated energy due to toughening mechanisms of FPZ and the macroscopic fracture by defining stress intensity factors of the damaged zone. These coefficients are used in equations of maximum SER criterion. The effect of crack initiation angle and the damaged zone is considered simultaneously in this criterion and mode II stress intensity factor is extracted in terms of stress intensity factors of damage zone and crack initiation angle. This criterion can evaluate the effects of FPZ on the fracture behavior of orthotropic material. Good agreement between extracted fracture limit curves (FLC's) and available experimental data proves the ability of the new proposed criterion.

Mixed Mode Analysis using Two-step Extension Based VCCT in an Inclined Center Crack Repaired by Composite Patching (복합재료 팻칭에 의한 중앙경사균열에서 2단계 확장 가상균열닫힘법을 사용한 혼합모우드해석)

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.1A
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    • pp.11-18
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    • 2012
  • This paper deals with the numerical determination of the stress intensity factors of cracked aluminum plates under the mixed mode of $K_I$ and $K_{II}$ in glass-epoxy fiber reinforced composites. For the stress intensity factors, two different models are reviewed such as VCCT and two-step extension method. The p-convergent partial layerwise model is adopted to determine the fracture parameters in terms of energy release rates and stress intensity factors. The p-convergent approach is based on the concept of subparametric element. In assumed displacement field, strain-displacement relations and 3-D constitutive equations of a layer are obtained by combination of 2-D and 1-D higher-order shape functions. In the elements, Lobatto shape functions and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature. Using the models and techniques considered, effects of composite laminate configuration according to inclined angles and adhesive properties on the performance of bonded composite patch are investigated. In addition to these, the out-of-plane bending effect has been investigated across the thickness of patch repaired laminate plates due to the change of neutral axis. The present model provides accuracy and simplicity in terms of stress intensity factors, stress distribution, number of degrees of freedom, and energy release rates as compared with previous works in literatures.

Optimization of Transient Stability Control Part-II: For Cases with Different Unstable Modes

  • Xue Yusheng;Li Wei;Hill David John
    • International Journal of Control, Automation, and Systems
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    • v.3 no.spc2
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    • pp.341-345
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    • 2005
  • Part-I of this two-part paper develops an optimal algorithm for transient stability control to coordinate the preventive actions and emergency actions for a subset of contingencies with an identical unstable mode. In this portion, several subsets of contingencies having dissimilar unstable modes are dealt with. Preventive actions benefiting a subset of contingencies may go against the stability of others, thus coordination among the optimal schemes for individual subsets is necessary. The coordination can be achieved by replacing some preventive actions with contingency-specified emergency actions. It is formulated as a classical model of economic dispatch with stability constraints and stability control costs. Such an optimal algorithm is proposed based on the algorithm in Part-I of the paper and is verified by simulations on a Chinese power system.

Mechanical Behavior of Fiber Metal Laminates with Local Delamination Defects (국부적 적층분리결함을 갖는 섬유금속적층판의 기계적 거동 특성)

  • Choi, Heungsoap;Choi, Hyungjip;Choi, Wonjong;Ha, Minsu
    • Journal of Aerospace System Engineering
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    • v.1 no.1
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    • pp.25-35
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    • 2007
  • In this paper, the interlaminar crack problems of a fiber metal laminate (FML) under generalized plane deformation are studied using the theory of anisotropic elasticity. The crack is considered to be embedded in the matrix interlaminar region (including adhesive zone and resin rich zone) of the FML. Based on Fourier integral transformation and the stress matrix formulation, the current mixed boundary value problem is reduced to solving a system of Cauchy-type singular integral equations of the 1st kind. Within the theory of linear fracture mechanics, the stress intensity factors are defined on terms of the solutions of integral equations and numerical results are obtained for in-plane normal (mode I) crack surface loading. The effects of location and length of crack in the 3/2 and 2/1 ARALL, GLARE or CARE type FML's on the stress intensity factors are illustrated.

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